%I #4 Nov 10 2014 15:49:45
%S 20,5102,246560,4732480,50383892,358850926,1914587120,8226417240,
%T 29886098100,94991593334,270790229072,705292752008,1702428675220,
%U 3850911187910,8235751257376,16772740216208,32720682872916
%N Number of length 6+5 0..n arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms
%C Row 6 of A250014
%H R. H. Hardin, <a href="/A250020/b250020.txt">Table of n, a(n) for n = 1..40</a>
%F Empirical: a(n) = n^11 - (7/6)*n^10 + (3907/560)*n^9 - (1139/240)*n^8 + (41257/2520)*n^7 - (69/8)*n^6 + (6293/720)*n^5 + (863/80)*n^4 - (5944/315)*n^3 + (55/4)*n^2 - (443/105)*n
%e Some solutions for n=2
%e ..0....0....2....2....1....0....2....1....0....0....0....0....0....0....1....0
%e ..2....0....0....0....2....0....2....0....0....2....2....2....0....2....0....2
%e ..0....0....0....1....2....2....0....0....2....2....0....0....1....0....0....0
%e ..2....2....2....2....0....1....1....0....2....0....0....0....2....2....2....0
%e ..1....1....2....0....0....2....0....1....2....1....1....2....2....0....2....2
%e ..0....2....0....0....0....2....2....1....0....0....1....1....2....2....0....1
%e ..2....0....2....1....2....0....2....1....1....2....0....0....0....0....1....0
%e ..2....2....0....0....2....0....0....0....0....0....2....2....0....2....2....2
%e ..1....0....0....2....1....2....0....0....0....2....0....2....0....1....0....0
%e ..2....2....2....2....0....0....1....0....1....2....0....0....1....2....0....0
%e ..0....1....2....0....0....2....2....2....1....0....1....2....2....0....1....2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 10 2014